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2231856 = 2432111409
BaseRepresentation
bin1000100000111000110000
311012101112100
420200320300
51032404411
6115500400
724653604
oct10407060
94171470
102231856
111294910
128b7700
13601b33
14421504
152e1456
hex220e30

2231856 has 60 divisors (see below), whose sum is σ = 6818760. Its totient is φ = 675840.

The previous prime is 2231849. The next prime is 2231857. The reversal of 2231856 is 6581322.

It is a super-3 number, since 3×22318563 = 33351837476631810048, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2231857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 880 + ... + 2288.

It is an arithmetic number, because the mean of its divisors is an integer number (113646).

22231856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2231856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409380).

2231856 is an abundant number, since it is smaller than the sum of its proper divisors (4586904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2231856 is a wasteful number, since it uses less digits than its factorization.

2231856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1425 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 2231856 is about 1493.9397578216. The cubic root of 2231856 is about 130.6838910146.

It can be divided in two parts, 22 and 31856, that added together give a triangular number (31878 = T252).

The spelling of 2231856 in words is "two million, two hundred thirty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 132 144 176 198 264 396 528 792 1409 1584 2818 4227 5636 8454 11272 12681 15499 16908 22544 25362 30998 33816 46497 50724 61996 67632 92994 101448 123992 139491 185988 202896 247984 278982 371976 557964 743952 1115928 2231856